Dr. Cristian Făciu

Senior Researcher at the Institute of Mathematics ‘’Simion Stoilow’’ of the Romanian Academy (IMAR), Continuum Mechanics Workgroup

Last update: June 4, 2018      

Mailing address:

Institute of Mathematics of the Romanian Academy,

P.O. Box 1-764, RO-014700, Bucharest, ROMANIA.

Fax: + 4021/319 65 06

Phone home: +4021/231 87 54   

E-mail :  Cristian.Faciu@imar.ro and Cristian.Faciu@gmail.com










·       Research interest

·       Curriculum Vitae

Ø  Education

Ø  Postdoctoral stages

Ø Participations at international schools

Ø Employment

Ø Professional affiliation

Ø Awards

Ø Session organizer

Ø Visiting positions

Ø Contributions at international scientific meetings

Ø Scientific and teaching activities

Ø  International / national research programs

·       Publications

Ø  Book chapters

Ø Journal articles

Ø  Conference proceedings




























Research interest:

·       Rate-type constitutive equations in viscoplasticity.

·       Wave propagation theory.

·       Dynamic problems in elasto-viscoplasticity; modeling and numerical solutions.

·       Phase transitions in solids and fluids.

·       Plastic instabilities, localization phenomena.

·       Gradient theories and the patterning of deformation.

·       Numerical methods for hyperbolic partial differential equations.


Curriculum Vitae


·        1989 - Ph. D. in Mathematics (Mechanics), Central Institute of Mathematics, Bucharest.

Title :  An energetic study of some initial-boundary value problems in viscoplasticity"

Advisor: Prof. I. Suliciu.
Committee: Prof. E. Soós, Prof. N. Cristescu, Prof. H. Ene.
Examination Fields:
Phenomenological thermodynamics with applications in solid mechanics.  Wave propagation theory.  (examiners: Prof. I. Suliciu, Prof. E. Soós, Prof. H. Ene)
Initial-boundary value problems for hyperbolic systems and numerical methods. (examiners: Prof. A. Halanay, Prof. I. Suliciu, Prof. H. Ene)



Postdoctoral stages:



Participations at international schools

·        Semester of mechanics, Banach Center, Warsaw, Poland, May 1981.




Professional affiliation

EUROMECH – European Mechanics Society




·        "Spiru Haret" prize of the Romanian Academy for the year 2006 (with  Prof. Alain Molinari) – attributed in 2008 for the papers on Dynamic-induced  Phase Transformations

·        Prize for Excellence in Research of the Romanian Society of Mathematicians, for the papers published in 1996.


Session organizer:



Visiting Positions:


Contributions at international scientific meetings:

·        Euromech 175, "Viscoplasticity and Applications", Bucharest, Romania, September 6-10, 1983.

Riemann and Goursat problems for one-dimensional classical plasticity.


·        The XIIth  Symposium "Vibrations '86", Poznan, Poland, May 15-17, 1986.

Riemann and Goursat problems in one-dimensional classical plasticity and their use for a numerical scheme of Godunov type.


·        "The 27th Polish Solid Mechanics Conference" and "Symposium of Inelastic Solids and Structures", Rytro, Poland, August 29 - September 3, 1988.

The free energy function and some energy estimation in one-dimensional dynamic viscoelasticity.


·        Euromech 263, "The effect of phase transformations in solids on constitutive laws", July 2-4, 1990, Vienna, Austria.

Some aspects in modelling phase transitions by means of rate-type constitutive equations.


·        Euromech 282, "Microscopic and macroscopic plastic deformation instabilities", July 7-11, 1991, Metz, France.

The modelling of softening and strain-localization by rate-type constitutive equations.


·        The European Symposium "Martensitic Transformations and Shape Memory Properties", Aussois, France, September 16–18, 1991.

Stress induced phase transformations in rate-type viscoelasticity.


·        The 18th  International Congress of Theoretical and Applied Mechanics (ICTAM), Minisymposyium on "Instabilities in Solid and Structural Mechanics", Haifa, Israel, August, 22-28, 1992.

Initiation and growth of strain bands in rate-type viscoelastic materials.


·        International Seminar MECAMAT '95, "Mechanisms and Mechanics of Solid-Solid Phase Transformations", La Bresse, France, May 16-19, 1995.

Evolution of layered structures in a gradient-dependent viscoplastic material.


·        Istituto Nazionale di Alta Matematica Meeting " Mathematical Problems in the Thermodynamics of Continuous Systems", Cortona, Italy, September 30 – October 4, 1996.

A non-local rate-type approach compatible with the unmodified continuum thermodynamics. Phase transition applications.


·        Symposium  of The International Union of Theoretical and Applied Mechanics (IUTAM) on “Material Instabilities in Solids”, Delft, The Netherlands, 9-13 June, 1997.

A new rate-type gradient-dependent viscoplastic approach for the Portevin-LeChatelier effect.


·        EUROMECH-MECAMAT, 2nd European Mechanics of Materials Conference, “Mechanics of Materials with Intrinsic Length Scale”, Magdeburg, February 1998.

A new rate-type gradient-dependent viscoplastic approach to the kinetics of the Portevin-LeChatelier bands. Numerical vs. physical experiments.


·        EUROMECH Solid Mechanics Conference, Metz, France, June 26-30, 2000.

A Maxwellian approach for austenite-martensite phase transformation induced by longitudinal impact.


·        Symposium  of The International Union of Theoretical and Applied Mechanics (IUTAM) on “Material Instabilities and the Effect of Microstructure”, Austin, Texas, May 7-11, 2001.

Invited lecture: A rate-type thermo-viscoelastic approach for shape memory alloys.


·        Workshop on Shape Memory Alloys, Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland, Septembre 3-6, 2001.

On a rate-type thermo-mechanical model for shape memory bars. Strain-controlled problems.


·        NATO Advanced ResearchWorkshop, “New Trends in Phase Transformations and their Applications to Smart Structures”, Metz, France, Avril 23-26, 2002.

Non-equilibrium thermodynamics of pseudo-elasticity and shape memory effect. A rate-type constitutive approach.


·        Sudosteuropa-Tagung "Wissenschaftsdialog in Sudosteuropa zum Thema Neue Technologien", Zagreb, Croatia, Octobre 18-20, 2002.

On modeling shape memory alloys - a continuum rate-type approach.


·        EUROMECH Solid Mechanics Conference, Thessaloniki, Grece, August 17-22, 2003.

On describing thermo-mechanical instabilities accompanying phase transitions.


·         21st  International Congress of Theoretical and Applied Mechanics (ICTAM), Session “Mechanics of phase transformations”, Warsaw, Poland, August 15-21, 2004.

On modeling the longitudinal impact of two shape memory bars.


·        7ième Colloque Franco-Roumain de Mathématiques Appliquées, Craiova, Roumanie, 30 août - 3 septembre, 2004.

Plenary lecture: Transformation de phases induite par l'impact longitudinal des barres. Structure des ondes.


·        8ième Colloque Franco-Roumain de Mathématiques Appliquées, Chambéry, France, 28 août -1er, septembre 2006.

Sur la propagation des ondes dans les fils extensibles en alliage à mémoire de forme.


·        The 10th European Mechanics of Materials Conference, “Multi-phases and multicomponents materials under dynamic loading”, Kazimierz Dolny, Poland, June 11-14, 2007.

Key-note lecture: On impact induced propagating phase boundaries. Thermal effects.


·        Euromech Colloquium 498, “Nonlinear Dynamics of Composite and Smart Structures”, Kazimierz Dolny, Poland, May 21-24, 2008.

Wave propagation and phase nucleation in phase-transforming strings.


·        9ième Colloque Franco-Roumain de Mathématiques Appliquées, Brasov, Roumanie, 28 août-2, septembre 2008.

The Goursat and Riemann problems for non-monotone elastic strings.


·        7th Congress of Romanian mathematicians in partnership with the European Mathematical Society, Brasov, Romania, June 29 – July 5, 2011.

On the structure of shock layers and phase boundaries for a rate-type approach to solid-solid phase transitions.


·        8th EUROMECH Solid Mechanics Conference, Graz, Austria, July 9-13,2012.

On the structure of impact induced interphase layers - a heat conducting Maxwellian rate-type approach to solid-solid phase transitions.


·        Symposium  of The International Union of Theoretical and Applied Mechanics (IUTAM) on “Hysteresis and Pattern Evolution in Non-equilibrium Solid-Solid Phase Transitions”, Hong Kong, August 15-18, 2012.

Invited lecture: On wave propagation in phase transforming strings - thermal effects and damping properties.


·        Symposium  of The International Union of Theoretical and Applied Mechanics (IUTAM) on “Materials and Interfaces under High Strain-Rate and Large Deformation”, Metz, France, June 17-21, 2013

Invited lecture: Shock-induced phase transitions in thermoelastic bars. Riemann problems and applications.


·        Anniversary Conference Faculty of Sciences – 150 years, University of Bucharest, Romania, August 29 – September 1, 2013.

A viscoplastic model with negativ strain-rate sensitivity for the the Portevin – Le Chatelier effect and relaxation-oscillations for dynamical systems.


·        The 21st Conference on Applied and Industrial Mathematics, Bucharest, Romania, September 19-22, 2013.

Plenary lecture: A way to solve Goursat and Riemann problems for phase transforming thermo-elastic bars. Temperature effects in impact problems.


·        „On Form and Pattern” - An Interdisciplinary Workshop Devoted to Morphogenesis, Alexander von Humboldt Stiftung & Humboldt Club România, Bucharest, Romania, Mai 29-31, 2014.

On modelling instabilities and pattern formation in metals.


·        13ième Colloque Franco-Roumain de Mathématiques Appliquées, Iasi, Roumanie, 25-29 août, 2016.

Modelling temporal and spatial instabilities of the Portevin - Le Chatelier effect.


·        International Conference on Dynamic Fracture of Ductile Materials (DYMAT 23rd Technical Meeting), Trondheim, Norway, September 12-14, 2017.

(C. Czarnota, N. Jacques, S. Mercier, A. Molinari, C. Faciu) Spall fracture prediction based on a multi-scale approach for the behavior of porous ductile materials accounting for microinertia.



Scientific and teaching activities

I have participated at permanent research seminaries in the field of interest at the Faculty of Mathematics and Mechanics of the University of Bucharest and at the Institute of Mathematics. I have participated in many scientific meetings in Romania. I was part time Assistant at the Faculty of Mathematics and Mechanics, teaching Theoretical Mechanics and Numerical Methods for Hyperbolic PDE's. I taught classes on viscoplasticity for graduate students at the University of Metz. I presented lectures at scientific seminars at Institut National Polytechnique de Grenoble, Laboratoire Génie Physique et Mécanique des Matériaux, at the University of Montpellier II, Laboratoire de Mécanique et Génie Civil, at the University of Metz, Laboratoire de Physique et Mécanique des Matériaux, at the Technical University of Berlin, Hermann Foettinger Institut fuer Thermodynamik und Fluiddynamik, at the Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw. I taught classes on Introduction to the Mechanics of Continuum Media for students in ''Maitrise Ingegnérie Mathématique'', at the University of Metz (April 1996 - July 1996; April 1997 - July 1997).


International / national research programs

2001 – 2004 EURROMMAT Programme „EURopean Integration of the ROManian MAThematical Research Activity” of the European Commission, ICA1-CT 2000-70022. Co-ordinator of the reasearch group on Phase Transitions and Plastic Flow Localization Phenomena.


2001 - Scientific collaboration with AMAS - Center of Excellence for Advanced Materials and Structures of the European Union,  Warsaw, Poland (Prof. Henryk Petryk, Dr. A. Ziółkowski). Research topic: Thermo-mechanical modelling of shape memory alloys.


2002 - Scientific collaboration in the frame of DFG – Sonderforschungsbereich 438, Research project B3: Adaptive materials: composite materials and applications, TU München, (Prof. Mario Brokate, Prof.  Andreas Hinz).


2002 - SCOPES 2000 – 2003 - Co-operation program between Eastern Europe and Switzerland. Research topic: On modelling exothermic/endothermic phase transformations in shape memory alloys.


2005-2006 Programme EGIDE ECO-NET N°10271NE du Ministère des Affaires etrangères francais, collaboration entre IMAR - Université de Metz - Institute of Fundamental Technological Research of Polish Academy of Sciences. Thème de recherche: Caractérisation mécanique et thermodynamique des nouveaux aciers utilisés dans le domaine automobile.


2009 – 2010 LEA - Laboratoire Européen Associé CNRS Franco-Roumain „Mathématiques et Modélisation”. Thème de recherche: Modélisation de la dynamique de l'impact. Applications aux matériaux qui peuvent subir des transformations de phase ou phénoménes d'écaillage. (collaboration avec Prof. Alain Molinari, Prof. Sébastien Mercier, Laboratoire de Physique et Mécanique des Matériaux,  Université de Metz, France).


2004 - 2006 CERES Program 4 - 187/2004 of the Romanian Ministry of Research and Education „Modelare matematica: rezultate abstracte si aplicatii.”  Research topic: Phase transformations induced by dynamic loading in solids.


2004 – 2006 Grant CNCSIS nr. 33079/24.06.2004 of the Romanian Ministry of Research and Education „Mathematical modeling and numerical study of some mechanical and thermodynamical phenomena in heterogeneous continuum media with complex structures. Research topic: modeling of smart materials.


2006 – 2009 CEX Program 2-CEx06-11-12/2407/2006 of the Romanian Ministry of Research and Education, „Mathematical modeling in continuum mechanics. Applications in material sciences.” Research topic: „Modeling of the thermomechanical coupling in visco-plastic materials that undergo phase transitions”, collaboration with University of Bucharest and University of Iasi - Alexandru I. Cuza.


2010 – 2013 Complex Exploratory Research Project of the Romanian Ministry of Research and Education,  PN II - Ideas Program, PCCE ID -100/2010, From micro to macro - continuum scale modeling of advanced materials in virtual fabrication. Research topics: Modelling the Portevin-Le Chatelier Effect - A Study on Plastic Instabilities and Pattern Formation, in collaboration with Technical University of Cluj Napoca and University of Bucharest.





Book chapters








 Journal articles




























Conference Proceedings






·       C. Făciu and  M. Mihăilescu-Suliciu, Wave propagation and phase nucleation in phase-transforming strings, pp. 154-158,  In “Nonlinear Dynamics of Composite and Smart Structures”, Conference Proceedings Euromech Colloquium 498, Eds. J. Warminski, M.P. Cartmell, J. Latalski, Kazimierz Dolny, Poland, May 21-24, ISBN 978-83-88691-35-5, 2008.